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Finding the Fourth Proportional to 16,266.72, 22,449 and 9,193.76

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Solution

The fourth proportional to 16,266.72, 22,449 and 9,193.76 is: 12,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.72 : 22,449 = 9,193.76 : x
  2. Step 2: Convert to fraction form
    16,266.72/22,449 = 9,193.76/x
  3. Step 3: Cross multiply
    16,266.72x = 22,449 × 9,193.76
  4. Step 4: Simplify right side
    16,266.72x = 206,390,718.24
  5. Step 5: Solve for x
    x = 206,390,718.24/16,266.72
  6. Step 6: Final answer
    x = 12,687.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.